Q. 44.1( 13 Votes )

Find the number o

Answer :

Given, diameter of sphere = 6 cm

We know that radius is half of the diameter.

Radius of sphere, r1 = 3 cm

Given, height of solid metal cylinder, h = 45 cm

Diameter = 4 cm

Radius of cylinder, r2 = 2 cm

Let a cylinder be melted to form n number of spheres.

So, Volume of cylinder = Volume of n spheres

We know that volume of cylinder = πr2h

And volume of sphere = (4πr3)/3

π (4)(45) = (n ×(4π(3)3)/3

180π = n36π

n = 180/36

n = 5

Ans. 5 spheres can be made by melting the cylinder.

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